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Finding the Fourth Proportional to 38,829, 53,584.08 and 22,065.24

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Solution

The fourth proportional to 38,829, 53,584.08 and 22,065.24 is: 30,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,829 : 53,584.08 = 22,065.24 : x
  2. Step 2: Convert to fraction form
    38,829/53,584.08 = 22,065.24/x
  3. Step 3: Cross multiply
    38,829x = 53,584.08 × 22,065.24
  4. Step 4: Simplify right side
    38,829x = 1,182,345,585.38
  5. Step 5: Solve for x
    x = 1,182,345,585.38/38,829
  6. Step 6: Final answer
    x = 30,450.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.